Finding the Third Proportional to 105,060 and 157,697.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,060 : 157,697.50 = 157,697.50 : x
2. Step 2: Convert to fraction form
   105,060/157,697.50 = 157,697.50/x
3. Step 3: Cross multiply
   105,060x = 157,697.50 × 157,697.50
4. Step 4: Simplify right side
   105,060x = 24,868,501,506.25
5. Step 5: Solve for x
   x = 24,868,501,506.25/105,060
6. Step 6: Final answer
   x = 236,707.61