Finding the Third Proportional to 157,645 and 345,948.50

Step by Step Solution

1. Step 1: Write the proportion equation
   157,645 : 345,948.50 = 345,948.50 : x
2. Step 2: Convert to fraction form
   157,645/345,948.50 = 345,948.50/x
3. Step 3: Cross multiply
   157,645x = 345,948.50 × 345,948.50
4. Step 4: Simplify right side
   157,645x = 119,680,364,652.25
5. Step 5: Solve for x
   x = 119,680,364,652.25/157,645
6. Step 6: Final answer
   x = 759,176.41