Finding the Third Proportional to 157,500 and 345,620.25

Step by Step Solution

1. Step 1: Write the proportion equation
   157,500 : 345,620.25 = 345,620.25 : x
2. Step 2: Convert to fraction form
   157,500/345,620.25 = 345,620.25/x
3. Step 3: Cross multiply
   157,500x = 345,620.25 × 345,620.25
4. Step 4: Simplify right side
   157,500x = 119,453,357,210.06
5. Step 5: Solve for x
   x = 119,453,357,210.06/157,500
6. Step 6: Final answer
   x = 758,434.01