Finding the Third Proportional to 69,905 and 111,191.50

Step by Step Solution

1. Step 1: Write the proportion equation
   69,905 : 111,191.50 = 111,191.50 : x
2. Step 2: Convert to fraction form
   69,905/111,191.50 = 111,191.50/x
3. Step 3: Cross multiply
   69,905x = 111,191.50 × 111,191.50
4. Step 4: Simplify right side
   69,905x = 12,363,549,672.25
5. Step 5: Solve for x
   x = 12,363,549,672.25/69,905
6. Step 6: Final answer
   x = 176,862.17