Finding the Third Proportional to 35,701 and 78,407.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,701 : 78,407.50 = 78,407.50 : x
2. Step 2: Convert to fraction form
   35,701/78,407.50 = 78,407.50/x
3. Step 3: Cross multiply
   35,701x = 78,407.50 × 78,407.50
4. Step 4: Simplify right side
   35,701x = 6,147,736,056.25
5. Step 5: Solve for x
   x = 6,147,736,056.25/35,701
6. Step 6: Final answer
   x = 172,200.67