Finding the Third Proportional to 66,537 and 100,498.50

Step by Step Solution

1. Step 1: Write the proportion equation
   66,537 : 100,498.50 = 100,498.50 : x
2. Step 2: Convert to fraction form
   66,537/100,498.50 = 100,498.50/x
3. Step 3: Cross multiply
   66,537x = 100,498.50 × 100,498.50
4. Step 4: Simplify right side
   66,537x = 10,099,948,502.25
5. Step 5: Solve for x
   x = 10,099,948,502.25/66,537
6. Step 6: Final answer
   x = 151,794.47