Finding the Third Proportional to 157,824 and 212,638.50

Step by Step Solution

1. Step 1: Write the proportion equation
   157,824 : 212,638.50 = 212,638.50 : x
2. Step 2: Convert to fraction form
   157,824/212,638.50 = 212,638.50/x
3. Step 3: Cross multiply
   157,824x = 212,638.50 × 212,638.50
4. Step 4: Simplify right side
   157,824x = 45,215,131,682.25
5. Step 5: Solve for x
   x = 45,215,131,682.25/157,824
6. Step 6: Final answer
   x = 286,490.85