Finding the Third Proportional to 177,850 and 271,291.50

Step by Step Solution

1. Step 1: Write the proportion equation
   177,850 : 271,291.50 = 271,291.50 : x
2. Step 2: Convert to fraction form
   177,850/271,291.50 = 271,291.50/x
3. Step 3: Cross multiply
   177,850x = 271,291.50 × 271,291.50
4. Step 4: Simplify right side
   177,850x = 73,599,077,972.25
5. Step 5: Solve for x
   x = 73,599,077,972.25/177,850
6. Step 6: Final answer
   x = 413,826.70