Finding the Third Proportional to 78,807 and 117,931.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,807 : 117,931.50 = 117,931.50 : x
2. Step 2: Convert to fraction form
   78,807/117,931.50 = 117,931.50/x
3. Step 3: Cross multiply
   78,807x = 117,931.50 × 117,931.50
4. Step 4: Simplify right side
   78,807x = 13,907,838,692.25
5. Step 5: Solve for x
   x = 13,907,838,692.25/78,807
6. Step 6: Final answer
   x = 176,479.74