Finding the Third Proportional to 77,594 and 123,063

Step by Step Solution

1. Step 1: Write the proportion equation
   77,594 : 123,063 = 123,063 : x
2. Step 2: Convert to fraction form
   77,594/123,063 = 123,063/x
3. Step 3: Cross multiply
   77,594x = 123,063 × 123,063
4. Step 4: Simplify right side
   77,594x = 15,144,501,969
5. Step 5: Solve for x
   x = 15,144,501,969/77,594
6. Step 6: Final answer
   x = 195,176.20