Finding the Third Proportional to 69,684 and 105,178.50

Step by Step Solution

1. Step 1: Write the proportion equation
   69,684 : 105,178.50 = 105,178.50 : x
2. Step 2: Convert to fraction form
   69,684/105,178.50 = 105,178.50/x
3. Step 3: Cross multiply
   69,684x = 105,178.50 × 105,178.50
4. Step 4: Simplify right side
   69,684x = 11,062,516,862.25
5. Step 5: Solve for x
   x = 11,062,516,862.25/69,684
6. Step 6: Final answer
   x = 158,752.61