Finding the Third Proportional to 116,938.50 and 176,466

Step by Step Solution

1. Step 1: Write the proportion equation
   116,938.50 : 176,466 = 176,466 : x
2. Step 2: Convert to fraction form
   116,938.50/176,466 = 176,466/x
3. Step 3: Cross multiply
   116,938.50x = 176,466 × 176,466
4. Step 4: Simplify right side
   116,938.50x = 31,140,249,156
5. Step 5: Solve for x
   x = 31,140,249,156/116,938.50
6. Step 6: Final answer
   x = 266,295.95