Finding the Third Proportional to 305,151 and 472,495.50

Step by Step Solution

1. Step 1: Write the proportion equation
   305,151 : 472,495.50 = 472,495.50 : x
2. Step 2: Convert to fraction form
   305,151/472,495.50 = 472,495.50/x
3. Step 3: Cross multiply
   305,151x = 472,495.50 × 472,495.50
4. Step 4: Simplify right side
   305,151x = 223,251,997,520.25
5. Step 5: Solve for x
   x = 223,251,997,520.25/305,151
6. Step 6: Final answer
   x = 731,611.55