Finding the Third Proportional to 91,814 and 139,557

Step by Step Solution

1. Step 1: Write the proportion equation
   91,814 : 139,557 = 139,557 : x
2. Step 2: Convert to fraction form
   91,814/139,557 = 139,557/x
3. Step 3: Cross multiply
   91,814x = 139,557 × 139,557
4. Step 4: Simplify right side
   91,814x = 19,476,156,249
5. Step 5: Solve for x
   x = 19,476,156,249/91,814
6. Step 6: Final answer
   x = 212,126.21