Finding the Third Proportional to 64,636.50 and 137,098.50

Step by Step Solution

1. Step 1: Write the proportion equation
   64,636.50 : 137,098.50 = 137,098.50 : x
2. Step 2: Convert to fraction form
   64,636.50/137,098.50 = 137,098.50/x
3. Step 3: Cross multiply
   64,636.50x = 137,098.50 × 137,098.50
4. Step 4: Simplify right side
   64,636.50x = 18,795,998,702.25
5. Step 5: Solve for x
   x = 18,795,998,702.25/64,636.50
6. Step 6: Final answer
   x = 290,795.43