Finding the Third Proportional to 157,827 and 212,642.50

Step by Step Solution

1. Step 1: Write the proportion equation
   157,827 : 212,642.50 = 212,642.50 : x
2. Step 2: Convert to fraction form
   157,827/212,642.50 = 212,642.50/x
3. Step 3: Cross multiply
   157,827x = 212,642.50 × 212,642.50
4. Step 4: Simplify right side
   157,827x = 45,216,832,806.25
5. Step 5: Solve for x
   x = 45,216,832,806.25/157,827
6. Step 6: Final answer
   x = 286,496.18