Finding the Third Proportional to 69,663 and 101,578.50

Step by Step Solution

1. Step 1: Write the proportion equation
   69,663 : 101,578.50 = 101,578.50 : x
2. Step 2: Convert to fraction form
   69,663/101,578.50 = 101,578.50/x
3. Step 3: Cross multiply
   69,663x = 101,578.50 × 101,578.50
4. Step 4: Simplify right side
   69,663x = 10,318,191,662.25
5. Step 5: Solve for x
   x = 10,318,191,662.25/69,663
6. Step 6: Final answer
   x = 148,115.81