Finding the Third Proportional to 380,167.50 and 569,124

Step by Step Solution

1. Step 1: Write the proportion equation
   380,167.50 : 569,124 = 569,124 : x
2. Step 2: Convert to fraction form
   380,167.50/569,124 = 569,124/x
3. Step 3: Cross multiply
   380,167.50x = 569,124 × 569,124
4. Step 4: Simplify right side
   380,167.50x = 323,902,127,376
5. Step 5: Solve for x
   x = 323,902,127,376/380,167.50
6. Step 6: Final answer
   x = 851,998.47