Finding the Third Proportional to 174,759 and 378,082.50

Step by Step Solution

1. Step 1: Write the proportion equation
   174,759 : 378,082.50 = 378,082.50 : x
2. Step 2: Convert to fraction form
   174,759/378,082.50 = 378,082.50/x
3. Step 3: Cross multiply
   174,759x = 378,082.50 × 378,082.50
4. Step 4: Simplify right side
   174,759x = 142,946,376,806.25
5. Step 5: Solve for x
   x = 142,946,376,806.25/174,759
6. Step 6: Final answer
   x = 817,962.89