Finding the Third Proportional to 113,374 and 176,953.50

Step by Step Solution

1. Step 1: Write the proportion equation
   113,374 : 176,953.50 = 176,953.50 : x
2. Step 2: Convert to fraction form
   113,374/176,953.50 = 176,953.50/x
3. Step 3: Cross multiply
   113,374x = 176,953.50 × 176,953.50
4. Step 4: Simplify right side
   113,374x = 31,312,541,162.25
5. Step 5: Solve for x
   x = 31,312,541,162.25/113,374
6. Step 6: Final answer
   x = 276,188.03