Finding the Third Proportional to 69,159 and 109,993.50

Step by Step Solution

1. Step 1: Write the proportion equation
   69,159 : 109,993.50 = 109,993.50 : x
2. Step 2: Convert to fraction form
   69,159/109,993.50 = 109,993.50/x
3. Step 3: Cross multiply
   69,159x = 109,993.50 × 109,993.50
4. Step 4: Simplify right side
   69,159x = 12,098,570,042.25
5. Step 5: Solve for x
   x = 12,098,570,042.25/69,159
6. Step 6: Final answer
   x = 174,938.48