Finding the Third Proportional to 75,575 and 112,967.50

Step by Step Solution

1. Step 1: Write the proportion equation
   75,575 : 112,967.50 = 112,967.50 : x
2. Step 2: Convert to fraction form
   75,575/112,967.50 = 112,967.50/x
3. Step 3: Cross multiply
   75,575x = 112,967.50 × 112,967.50
4. Step 4: Simplify right side
   75,575x = 12,761,656,056.25
5. Step 5: Solve for x
   x = 12,761,656,056.25/75,575
6. Step 6: Final answer
   x = 168,860.81