Finding the Third Proportional to 34,840.13 and 78,706.69

Step by Step Solution

1. Step 1: Write the proportion equation
   34,840.13 : 78,706.69 = 78,706.69 : x
2. Step 2: Convert to fraction form
   34,840.13/78,706.69 = 78,706.69/x
3. Step 3: Cross multiply
   34,840.13x = 78,706.69 × 78,706.69
4. Step 4: Simplify right side
   34,840.13x = 6,194,742,657.22
5. Step 5: Solve for x
   x = 6,194,742,657.22/34,840.13
6. Step 6: Final answer
   x = 177,804.83