Finding the Third Proportional to 76,349 and 114,172.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,349 : 114,172.50 = 114,172.50 : x
2. Step 2: Convert to fraction form
   76,349/114,172.50 = 114,172.50/x
3. Step 3: Cross multiply
   76,349x = 114,172.50 × 114,172.50
4. Step 4: Simplify right side
   76,349x = 13,035,359,756.25
5. Step 5: Solve for x
   x = 13,035,359,756.25/76,349
6. Step 6: Final answer
   x = 170,733.86