Finding the Third Proportional to 77,402 and 158,083.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,402 : 158,083.50 = 158,083.50 : x
2. Step 2: Convert to fraction form
   77,402/158,083.50 = 158,083.50/x
3. Step 3: Cross multiply
   77,402x = 158,083.50 × 158,083.50
4. Step 4: Simplify right side
   77,402x = 24,990,392,972.25
5. Step 5: Solve for x
   x = 24,990,392,972.25/77,402
6. Step 6: Final answer
   x = 322,864.95