Finding the Third Proportional to 43,098 and 91,414.50

Step by Step Solution

1. Step 1: Write the proportion equation
   43,098 : 91,414.50 = 91,414.50 : x
2. Step 2: Convert to fraction form
   43,098/91,414.50 = 91,414.50/x
3. Step 3: Cross multiply
   43,098x = 91,414.50 × 91,414.50
4. Step 4: Simplify right side
   43,098x = 8,356,610,810.25
5. Step 5: Solve for x
   x = 8,356,610,810.25/43,098
6. Step 6: Final answer
   x = 193,897.88