Finding the Third Proportional to 76,075.50 and 114,127.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,075.50 : 114,127.50 = 114,127.50 : x
2. Step 2: Convert to fraction form
   76,075.50/114,127.50 = 114,127.50/x
3. Step 3: Cross multiply
   76,075.50x = 114,127.50 × 114,127.50
4. Step 4: Simplify right side
   76,075.50x = 13,025,086,256.25
5. Step 5: Solve for x
   x = 13,025,086,256.25/76,075.50
6. Step 6: Final answer
   x = 171,212.63