Finding the Third Proportional to 42,255 and 91,807.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,255 : 91,807.50 = 91,807.50 : x
2. Step 2: Convert to fraction form
   42,255/91,807.50 = 91,807.50/x
3. Step 3: Cross multiply
   42,255x = 91,807.50 × 91,807.50
4. Step 4: Simplify right side
   42,255x = 8,428,617,056.25
5. Step 5: Solve for x
   x = 8,428,617,056.25/42,255
6. Step 6: Final answer
   x = 199,470.29