Finding the Third Proportional to 233,835 and 334,402.50

Step by Step Solution

1. Step 1: Write the proportion equation
   233,835 : 334,402.50 = 334,402.50 : x
2. Step 2: Convert to fraction form
   233,835/334,402.50 = 334,402.50/x
3. Step 3: Cross multiply
   233,835x = 334,402.50 × 334,402.50
4. Step 4: Simplify right side
   233,835x = 111,825,032,006.25
5. Step 5: Solve for x
   x = 111,825,032,006.25/233,835
6. Step 6: Final answer
   x = 478,221.96