Finding the Third Proportional to 74,541 and 111,487.50

Step by Step Solution

1. Step 1: Write the proportion equation
   74,541 : 111,487.50 = 111,487.50 : x
2. Step 2: Convert to fraction form
   74,541/111,487.50 = 111,487.50/x
3. Step 3: Cross multiply
   74,541x = 111,487.50 × 111,487.50
4. Step 4: Simplify right side
   74,541x = 12,429,462,656.25
5. Step 5: Solve for x
   x = 12,429,462,656.25/74,541
6. Step 6: Final answer
   x = 166,746.66