Finding the Third Proportional to 91,749 and 141,798

Step by Step Solution

1. Step 1: Write the proportion equation
   91,749 : 141,798 = 141,798 : x
2. Step 2: Convert to fraction form
   91,749/141,798 = 141,798/x
3. Step 3: Cross multiply
   91,749x = 141,798 × 141,798
4. Step 4: Simplify right side
   91,749x = 20,106,672,804
5. Step 5: Solve for x
   x = 20,106,672,804/91,749
6. Step 6: Final answer
   x = 219,148.69