Finding the Third Proportional to 421,259 and 546,495.50

Step by Step Solution

1. Step 1: Write the proportion equation
   421,259 : 546,495.50 = 546,495.50 : x
2. Step 2: Convert to fraction form
   421,259/546,495.50 = 546,495.50/x
3. Step 3: Cross multiply
   421,259x = 546,495.50 × 546,495.50
4. Step 4: Simplify right side
   421,259x = 298,657,331,520.25
5. Step 5: Solve for x
   x = 298,657,331,520.25/421,259
6. Step 6: Final answer
   x = 708,963.68