Finding the Third Proportional to 157,513 and 345,645.50

Step by Step Solution

1. Step 1: Write the proportion equation
   157,513 : 345,645.50 = 345,645.50 : x
2. Step 2: Convert to fraction form
   157,513/345,645.50 = 345,645.50/x
3. Step 3: Cross multiply
   157,513x = 345,645.50 × 345,645.50
4. Step 4: Simplify right side
   157,513x = 119,470,811,670.25
5. Step 5: Solve for x
   x = 119,470,811,670.25/157,513
6. Step 6: Final answer
   x = 758,482.23