Finding the Third Proportional to 52,312 and 107,648

Step by Step Solution

1. Step 1: Write the proportion equation
   52,312 : 107,648 = 107,648 : x
2. Step 2: Convert to fraction form
   52,312/107,648 = 107,648/x
3. Step 3: Cross multiply
   52,312x = 107,648 × 107,648
4. Step 4: Simplify right side
   52,312x = 11,588,091,904
5. Step 5: Solve for x
   x = 11,588,091,904/52,312
6. Step 6: Final answer
   x = 221,518.81