Finding the Third Proportional to 76,595 and 114,973.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,595 : 114,973.50 = 114,973.50 : x
2. Step 2: Convert to fraction form
   76,595/114,973.50 = 114,973.50/x
3. Step 3: Cross multiply
   76,595x = 114,973.50 × 114,973.50
4. Step 4: Simplify right side
   76,595x = 13,218,905,702.25
5. Step 5: Solve for x
   x = 13,218,905,702.25/76,595
6. Step 6: Final answer
   x = 172,581.84