Finding the Third Proportional to 84,024.50 and 175,838.50

Step by Step Solution

1. Step 1: Write the proportion equation
   84,024.50 : 175,838.50 = 175,838.50 : x
2. Step 2: Convert to fraction form
   84,024.50/175,838.50 = 175,838.50/x
3. Step 3: Cross multiply
   84,024.50x = 175,838.50 × 175,838.50
4. Step 4: Simplify right side
   84,024.50x = 30,919,178,082.25
5. Step 5: Solve for x
   x = 30,919,178,082.25/84,024.50
6. Step 6: Final answer
   x = 367,978.13