Finding the Third Proportional to 77,602 and 169,419.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,602 : 169,419.50 = 169,419.50 : x
2. Step 2: Convert to fraction form
   77,602/169,419.50 = 169,419.50/x
3. Step 3: Cross multiply
   77,602x = 169,419.50 × 169,419.50
4. Step 4: Simplify right side
   77,602x = 28,702,966,980.25
5. Step 5: Solve for x
   x = 28,702,966,980.25/77,602
6. Step 6: Final answer
   x = 369,874.06