Finding the Third Proportional to 72,781 and 115,731.50

Step by Step Solution

1. Step 1: Write the proportion equation
   72,781 : 115,731.50 = 115,731.50 : x
2. Step 2: Convert to fraction form
   72,781/115,731.50 = 115,731.50/x
3. Step 3: Cross multiply
   72,781x = 115,731.50 × 115,731.50
4. Step 4: Simplify right side
   72,781x = 13,393,780,092.25
5. Step 5: Solve for x
   x = 13,393,780,092.25/72,781
6. Step 6: Final answer
   x = 184,028.53