Finding the Third Proportional to 272,020 and 382,384.50

Step by Step Solution

1. Step 1: Write the proportion equation
   272,020 : 382,384.50 = 382,384.50 : x
2. Step 2: Convert to fraction form
   272,020/382,384.50 = 382,384.50/x
3. Step 3: Cross multiply
   272,020x = 382,384.50 × 382,384.50
4. Step 4: Simplify right side
   272,020x = 146,217,905,840.25
5. Step 5: Solve for x
   x = 146,217,905,840.25/272,020
6. Step 6: Final answer
   x = 537,526.31