Finding the Third Proportional to 77,749 and 116,602

Step by Step Solution

1. Step 1: Write the proportion equation
   77,749 : 116,602 = 116,602 : x
2. Step 2: Convert to fraction form
   77,749/116,602 = 116,602/x
3. Step 3: Cross multiply
   77,749x = 116,602 × 116,602
4. Step 4: Simplify right side
   77,749x = 13,596,026,404
5. Step 5: Solve for x
   x = 13,596,026,404/77,749
6. Step 6: Final answer
   x = 174,870.76