Finding the Third Proportional to 117,624 and 256,573.50

Step by Step Solution

1. Step 1: Write the proportion equation
   117,624 : 256,573.50 = 256,573.50 : x
2. Step 2: Convert to fraction form
   117,624/256,573.50 = 256,573.50/x
3. Step 3: Cross multiply
   117,624x = 256,573.50 × 256,573.50
4. Step 4: Simplify right side
   117,624x = 65,829,960,902.25
5. Step 5: Solve for x
   x = 65,829,960,902.25/117,624
6. Step 6: Final answer
   x = 559,664.36