Finding the Third Proportional to 42,192 and 91,390.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,192 : 91,390.50 = 91,390.50 : x
2. Step 2: Convert to fraction form
   42,192/91,390.50 = 91,390.50/x
3. Step 3: Cross multiply
   42,192x = 91,390.50 × 91,390.50
4. Step 4: Simplify right side
   42,192x = 8,352,223,490.25
5. Step 5: Solve for x
   x = 8,352,223,490.25/42,192
6. Step 6: Final answer
   x = 197,957.52