Finding the Third Proportional to 384,114 and 509,710.50

Step by Step Solution

1. Step 1: Write the proportion equation
   384,114 : 509,710.50 = 509,710.50 : x
2. Step 2: Convert to fraction form
   384,114/509,710.50 = 509,710.50/x
3. Step 3: Cross multiply
   384,114x = 509,710.50 × 509,710.50
4. Step 4: Simplify right side
   384,114x = 259,804,793,810.25
5. Step 5: Solve for x
   x = 259,804,793,810.25/384,114
6. Step 6: Final answer
   x = 676,374.19