Finding the Third Proportional to 429,384 and 583,146

Step by Step Solution

1. Step 1: Write the proportion equation
   429,384 : 583,146 = 583,146 : x
2. Step 2: Convert to fraction form
   429,384/583,146 = 583,146/x
3. Step 3: Cross multiply
   429,384x = 583,146 × 583,146
4. Step 4: Simplify right side
   429,384x = 340,059,257,316
5. Step 5: Solve for x
   x = 340,059,257,316/429,384
6. Step 6: Final answer
   x = 791,970.03