Finding the Third Proportional to 76,011 and 114,472.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,011 : 114,472.50 = 114,472.50 : x
2. Step 2: Convert to fraction form
   76,011/114,472.50 = 114,472.50/x
3. Step 3: Cross multiply
   76,011x = 114,472.50 × 114,472.50
4. Step 4: Simplify right side
   76,011x = 13,103,953,256.25
5. Step 5: Solve for x
   x = 13,103,953,256.25/76,011
6. Step 6: Final answer
   x = 172,395.49