Finding the Third Proportional to 35,213.63 and 78,298.88

Step by Step Solution

1. Step 1: Write the proportion equation
   35,213.63 : 78,298.88 = 78,298.88 : x
2. Step 2: Convert to fraction form
   35,213.63/78,298.88 = 78,298.88/x
3. Step 3: Cross multiply
   35,213.63x = 78,298.88 × 78,298.88
4. Step 4: Simplify right side
   35,213.63x = 6,130,713,826.27
5. Step 5: Solve for x
   x = 6,130,713,826.27/35,213.63
6. Step 6: Final answer
   x = 174,100.62