Finding the Third Proportional to 69,627 and 101,462.50

Step by Step Solution

1. Step 1: Write the proportion equation
   69,627 : 101,462.50 = 101,462.50 : x
2. Step 2: Convert to fraction form
   69,627/101,462.50 = 101,462.50/x
3. Step 3: Cross multiply
   69,627x = 101,462.50 × 101,462.50
4. Step 4: Simplify right side
   69,627x = 10,294,638,906.25
5. Step 5: Solve for x
   x = 10,294,638,906.25/69,627
6. Step 6: Final answer
   x = 147,854.12