Finding the Third Proportional to 105,410 and 136,791.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,410 : 136,791.50 = 136,791.50 : x
2. Step 2: Convert to fraction form
   105,410/136,791.50 = 136,791.50/x
3. Step 3: Cross multiply
   105,410x = 136,791.50 × 136,791.50
4. Step 4: Simplify right side
   105,410x = 18,711,914,472.25
5. Step 5: Solve for x
   x = 18,711,914,472.25/105,410
6. Step 6: Final answer
   x = 177,515.55