Finding the Third Proportional to 91,098 and 137,920.50

Step by Step Solution

1. Step 1: Write the proportion equation
   91,098 : 137,920.50 = 137,920.50 : x
2. Step 2: Convert to fraction form
   91,098/137,920.50 = 137,920.50/x
3. Step 3: Cross multiply
   91,098x = 137,920.50 × 137,920.50
4. Step 4: Simplify right side
   91,098x = 19,022,064,320.25
5. Step 5: Solve for x
   x = 19,022,064,320.25/91,098
6. Step 6: Final answer
   x = 208,808.80