Finding the Third Proportional to 157,541 and 345,697.50

Step by Step Solution

1. Step 1: Write the proportion equation
   157,541 : 345,697.50 = 345,697.50 : x
2. Step 2: Convert to fraction form
   157,541/345,697.50 = 345,697.50/x
3. Step 3: Cross multiply
   157,541x = 345,697.50 × 345,697.50
4. Step 4: Simplify right side
   157,541x = 119,506,761,506.25
5. Step 5: Solve for x
   x = 119,506,761,506.25/157,541
6. Step 6: Final answer
   x = 758,575.62