Finding the Third Proportional to 35,209 and 78,290.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,209 : 78,290.50 = 78,290.50 : x
2. Step 2: Convert to fraction form
   35,209/78,290.50 = 78,290.50/x
3. Step 3: Cross multiply
   35,209x = 78,290.50 × 78,290.50
4. Step 4: Simplify right side
   35,209x = 6,129,402,390.25
5. Step 5: Solve for x
   x = 6,129,402,390.25/35,209
6. Step 6: Final answer
   x = 174,086.24