Finding the Third Proportional to 103,677 and 149,854.50

Step by Step Solution

1. Step 1: Write the proportion equation
   103,677 : 149,854.50 = 149,854.50 : x
2. Step 2: Convert to fraction form
   103,677/149,854.50 = 149,854.50/x
3. Step 3: Cross multiply
   103,677x = 149,854.50 × 149,854.50
4. Step 4: Simplify right side
   103,677x = 22,456,371,170.25
5. Step 5: Solve for x
   x = 22,456,371,170.25/103,677
6. Step 6: Final answer
   x = 216,599.35