Finding the Third Proportional to 75,492 and 105,811.50

Step by Step Solution

1. Step 1: Write the proportion equation
   75,492 : 105,811.50 = 105,811.50 : x
2. Step 2: Convert to fraction form
   75,492/105,811.50 = 105,811.50/x
3. Step 3: Cross multiply
   75,492x = 105,811.50 × 105,811.50
4. Step 4: Simplify right side
   75,492x = 11,196,073,532.25
5. Step 5: Solve for x
   x = 11,196,073,532.25/75,492
6. Step 6: Final answer
   x = 148,308.08