Finding the Third Proportional to 69,138 and 109,934.50

Step by Step Solution

1. Step 1: Write the proportion equation
   69,138 : 109,934.50 = 109,934.50 : x
2. Step 2: Convert to fraction form
   69,138/109,934.50 = 109,934.50/x
3. Step 3: Cross multiply
   69,138x = 109,934.50 × 109,934.50
4. Step 4: Simplify right side
   69,138x = 12,085,594,290.25
5. Step 5: Solve for x
   x = 12,085,594,290.25/69,138
6. Step 6: Final answer
   x = 174,803.93