Finding the Third Proportional to 176,292 and 257,053.50

Step by Step Solution

1. Step 1: Write the proportion equation
   176,292 : 257,053.50 = 257,053.50 : x
2. Step 2: Convert to fraction form
   176,292/257,053.50 = 257,053.50/x
3. Step 3: Cross multiply
   176,292x = 257,053.50 × 257,053.50
4. Step 4: Simplify right side
   176,292x = 66,076,501,862.25
5. Step 5: Solve for x
   x = 66,076,501,862.25/176,292
6. Step 6: Final answer
   x = 374,812.82