Finding the Third Proportional to 157,743 and 212,554.50

Step by Step Solution

1. Step 1: Write the proportion equation
   157,743 : 212,554.50 = 212,554.50 : x
2. Step 2: Convert to fraction form
   157,743/212,554.50 = 212,554.50/x
3. Step 3: Cross multiply
   157,743x = 212,554.50 × 212,554.50
4. Step 4: Simplify right side
   157,743x = 45,179,415,470.25
5. Step 5: Solve for x
   x = 45,179,415,470.25/157,743
6. Step 6: Final answer
   x = 286,411.54