Finding the Third Proportional to 77,774.63 and 123,667.88

Step by Step Solution

1. Step 1: Write the proportion equation
   77,774.63 : 123,667.88 = 123,667.88 : x
2. Step 2: Convert to fraction form
   77,774.63/123,667.88 = 123,667.88/x
3. Step 3: Cross multiply
   77,774.63x = 123,667.88 × 123,667.88
4. Step 4: Simplify right side
   77,774.63x = 15,293,743,307.02
5. Step 5: Solve for x
   x = 15,293,743,307.02/77,774.63
6. Step 6: Final answer
   x = 196,641.81