Finding the Third Proportional to 101,016 and 149,569.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,016 : 149,569.50 = 149,569.50 : x
2. Step 2: Convert to fraction form
   101,016/149,569.50 = 149,569.50/x
3. Step 3: Cross multiply
   101,016x = 149,569.50 × 149,569.50
4. Step 4: Simplify right side
   101,016x = 22,371,035,330.25
5. Step 5: Solve for x
   x = 22,371,035,330.25/101,016
6. Step 6: Final answer
   x = 221,460.32