Finding the Third Proportional to 94,827 and 142,492.50

Step by Step Solution

1. Step 1: Write the proportion equation
   94,827 : 142,492.50 = 142,492.50 : x
2. Step 2: Convert to fraction form
   94,827/142,492.50 = 142,492.50/x
3. Step 3: Cross multiply
   94,827x = 142,492.50 × 142,492.50
4. Step 4: Simplify right side
   94,827x = 20,304,112,556.25
5. Step 5: Solve for x
   x = 20,304,112,556.25/94,827
6. Step 6: Final answer
   x = 214,117.42