Finding the Third Proportional to 146,101.50 and 314,396

Step by Step Solution

1. Step 1: Write the proportion equation
   146,101.50 : 314,396 = 314,396 : x
2. Step 2: Convert to fraction form
   146,101.50/314,396 = 314,396/x
3. Step 3: Cross multiply
   146,101.50x = 314,396 × 314,396
4. Step 4: Simplify right side
   146,101.50x = 98,844,844,816
5. Step 5: Solve for x
   x = 98,844,844,816/146,101.50
6. Step 6: Final answer
   x = 676,549.14