Finding the Third Proportional to 109,624,604,664 and 174,434,296,780

Step by Step Solution

1. Step 1: Write the proportion equation
   109,624,604,664 : 174,434,296,780 = 174,434,296,780 : x
2. Step 2: Convert to fraction form
   109,624,604,664/174,434,296,780 = 174,434,296,780/x
3. Step 3: Cross multiply
   109,624,604,664x = 174,434,296,780 × 174,434,296,780
4. Step 4: Simplify right side
   109,624,604,664x = 30,427,323,893,133,118,275,584
5. Step 5: Solve for x
   x = 30,427,323,893,133,118,275,584/109,624,604,664
6. Step 6: Final answer
   x = 277,559,257,672.06