Finding the Third Proportional to 148,383.50 and 314,423

Step by Step Solution

1. Step 1: Write the proportion equation
   148,383.50 : 314,423 = 314,423 : x
2. Step 2: Convert to fraction form
   148,383.50/314,423 = 314,423/x
3. Step 3: Cross multiply
   148,383.50x = 314,423 × 314,423
4. Step 4: Simplify right side
   148,383.50x = 98,861,822,929
5. Step 5: Solve for x
   x = 98,861,822,929/148,383.50
6. Step 6: Final answer
   x = 666,258.87