Finding the Third Proportional to 78,402.25 and 117,780

Step by Step Solution

1. Step 1: Write the proportion equation
   78,402.25 : 117,780 = 117,780 : x
2. Step 2: Convert to fraction form
   78,402.25/117,780 = 117,780/x
3. Step 3: Cross multiply
   78,402.25x = 117,780 × 117,780
4. Step 4: Simplify right side
   78,402.25x = 13,872,128,400
5. Step 5: Solve for x
   x = 13,872,128,400/78,402.25
6. Step 6: Final answer
   x = 176,935.34