Finding the Third Proportional to 83,100 and 181,432.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,100 : 181,432.50 = 181,432.50 : x
2. Step 2: Convert to fraction form
   83,100/181,432.50 = 181,432.50/x
3. Step 3: Cross multiply
   83,100x = 181,432.50 × 181,432.50
4. Step 4: Simplify right side
   83,100x = 32,917,752,056.25
5. Step 5: Solve for x
   x = 32,917,752,056.25/83,100
6. Step 6: Final answer
   x = 396,122.17