Finding the Third Proportional to 35,970 and 78,374.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,970 : 78,374.50 = 78,374.50 : x
2. Step 2: Convert to fraction form
   35,970/78,374.50 = 78,374.50/x
3. Step 3: Cross multiply
   35,970x = 78,374.50 × 78,374.50
4. Step 4: Simplify right side
   35,970x = 6,142,562,250.25
5. Step 5: Solve for x
   x = 6,142,562,250.25/35,970
6. Step 6: Final answer
   x = 170,769.04