Finding the Third Proportional to 52,836 and 115,471.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,836 : 115,471.50 = 115,471.50 : x
2. Step 2: Convert to fraction form
   52,836/115,471.50 = 115,471.50/x
3. Step 3: Cross multiply
   52,836x = 115,471.50 × 115,471.50
4. Step 4: Simplify right side
   52,836x = 13,333,667,312.25
5. Step 5: Solve for x
   x = 13,333,667,312.25/52,836
6. Step 6: Final answer
   x = 252,359.51