Finding the Third Proportional to 302,677.50 and 424,194

Step by Step Solution

1. Step 1: Write the proportion equation
   302,677.50 : 424,194 = 424,194 : x
2. Step 2: Convert to fraction form
   302,677.50/424,194 = 424,194/x
3. Step 3: Cross multiply
   302,677.50x = 424,194 × 424,194
4. Step 4: Simplify right side
   302,677.50x = 179,940,549,636
5. Step 5: Solve for x
   x = 179,940,549,636/302,677.50
6. Step 6: Final answer
   x = 594,495.96