Finding the Third Proportional to 105,038.50 and 157,191

Step by Step Solution

1. Step 1: Write the proportion equation
   105,038.50 : 157,191 = 157,191 : x
2. Step 2: Convert to fraction form
   105,038.50/157,191 = 157,191/x
3. Step 3: Cross multiply
   105,038.50x = 157,191 × 157,191
4. Step 4: Simplify right side
   105,038.50x = 24,709,010,481
5. Step 5: Solve for x
   x = 24,709,010,481/105,038.50
6. Step 6: Final answer
   x = 235,237.66