Finding the Third Proportional to 243,526.50 and 382,117.50

Step by Step Solution

1. Step 1: Write the proportion equation
   243,526.50 : 382,117.50 = 382,117.50 : x
2. Step 2: Convert to fraction form
   243,526.50/382,117.50 = 382,117.50/x
3. Step 3: Cross multiply
   243,526.50x = 382,117.50 × 382,117.50
4. Step 4: Simplify right side
   243,526.50x = 146,013,783,806.25
5. Step 5: Solve for x
   x = 146,013,783,806.25/243,526.50
6. Step 6: Final answer
   x = 599,580.68