Finding the Third Proportional to 118,113 and 178,062

Step by Step Solution

1. Step 1: Write the proportion equation
   118,113 : 178,062 = 178,062 : x
2. Step 2: Convert to fraction form
   118,113/178,062 = 178,062/x
3. Step 3: Cross multiply
   118,113x = 178,062 × 178,062
4. Step 4: Simplify right side
   118,113x = 31,706,075,844
5. Step 5: Solve for x
   x = 31,706,075,844/118,113
6. Step 6: Final answer
   x = 268,438.49