Finding the Third Proportional to 52,964 and 78,533.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,964 : 78,533.50 = 78,533.50 : x
2. Step 2: Convert to fraction form
   52,964/78,533.50 = 78,533.50/x
3. Step 3: Cross multiply
   52,964x = 78,533.50 × 78,533.50
4. Step 4: Simplify right side
   52,964x = 6,167,510,622.25
5. Step 5: Solve for x
   x = 6,167,510,622.25/52,964
6. Step 6: Final answer
   x = 116,447.22