Finding the Third Proportional to 81,594 and 114,905.25

Step by Step Solution

1. Step 1: Write the proportion equation
   81,594 : 114,905.25 = 114,905.25 : x
2. Step 2: Convert to fraction form
   81,594/114,905.25 = 114,905.25/x
3. Step 3: Cross multiply
   81,594x = 114,905.25 × 114,905.25
4. Step 4: Simplify right side
   81,594x = 13,203,216,477.56
5. Step 5: Solve for x
   x = 13,203,216,477.56/81,594
6. Step 6: Final answer
   x = 161,816.02