Finding the Third Proportional to 59,533 and 92,098.50

Step by Step Solution

1. Step 1: Write the proportion equation
   59,533 : 92,098.50 = 92,098.50 : x
2. Step 2: Convert to fraction form
   59,533/92,098.50 = 92,098.50/x
3. Step 3: Cross multiply
   59,533x = 92,098.50 × 92,098.50
4. Step 4: Simplify right side
   59,533x = 8,482,133,702.25
5. Step 5: Solve for x
   x = 8,482,133,702.25/59,533
6. Step 6: Final answer
   x = 142,477.85