Finding the Third Proportional to 233,705.25 and 510,641.72

Step by Step Solution

1. Step 1: Write the proportion equation
   233,705.25 : 510,641.72 = 510,641.72 : x
2. Step 2: Convert to fraction form
   233,705.25/510,641.72 = 510,641.72/x
3. Step 3: Cross multiply
   233,705.25x = 510,641.72 × 510,641.72
4. Step 4: Simplify right side
   233,705.25x = 260,754,964,927.95
5. Step 5: Solve for x
   x = 260,754,964,927.95/233,705.25
6. Step 6: Final answer
   x = 1,115,742.86