Finding the Third Proportional to 277,506 and 384,304.50

Step by Step Solution

1. Step 1: Write the proportion equation
   277,506 : 384,304.50 = 384,304.50 : x
2. Step 2: Convert to fraction form
   277,506/384,304.50 = 384,304.50/x
3. Step 3: Cross multiply
   277,506x = 384,304.50 × 384,304.50
4. Step 4: Simplify right side
   277,506x = 147,689,948,720.25
5. Step 5: Solve for x
   x = 147,689,948,720.25/277,506
6. Step 6: Final answer
   x = 532,204.52