Finding the Third Proportional to 243,138 and 379,468.50

Step by Step Solution

1. Step 1: Write the proportion equation
   243,138 : 379,468.50 = 379,468.50 : x
2. Step 2: Convert to fraction form
   243,138/379,468.50 = 379,468.50/x
3. Step 3: Cross multiply
   243,138x = 379,468.50 × 379,468.50
4. Step 4: Simplify right side
   243,138x = 143,996,342,492.25
5. Step 5: Solve for x
   x = 143,996,342,492.25/243,138
6. Step 6: Final answer
   x = 592,241.21