Finding the Third Proportional to 101,746 and 149,679.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,746 : 149,679.50 = 149,679.50 : x
2. Step 2: Convert to fraction form
   101,746/149,679.50 = 149,679.50/x
3. Step 3: Cross multiply
   101,746x = 149,679.50 × 149,679.50
4. Step 4: Simplify right side
   101,746x = 22,403,952,720.25
5. Step 5: Solve for x
   x = 22,403,952,720.25/101,746
6. Step 6: Final answer
   x = 220,194.92