Finding the Third Proportional to 69,269.50 and 107,468.50

Step by Step Solution

1. Step 1: Write the proportion equation
   69,269.50 : 107,468.50 = 107,468.50 : x
2. Step 2: Convert to fraction form
   69,269.50/107,468.50 = 107,468.50/x
3. Step 3: Cross multiply
   69,269.50x = 107,468.50 × 107,468.50
4. Step 4: Simplify right side
   69,269.50x = 11,549,478,492.25
5. Step 5: Solve for x
   x = 11,549,478,492.25/69,269.50
6. Step 6: Final answer
   x = 166,732.52