Finding the Third Proportional to 157,986,150.75 and 209,630,790

Step by Step Solution

1. Step 1: Write the proportion equation
   157,986,150.75 : 209,630,790 = 209,630,790 : x
2. Step 2: Convert to fraction form
   157,986,150.75/209,630,790 = 209,630,790/x
3. Step 3: Cross multiply
   157,986,150.75x = 209,630,790 × 209,630,790
4. Step 4: Simplify right side
   157,986,150.75x = 43,945,068,116,024,096
5. Step 5: Solve for x
   x = 43,945,068,116,024,096/157,986,150.75
6. Step 6: Final answer
   x = 278,157,724.00